Posted by **Anonymous** on Wednesday, November 14, 2012 at 10:45pm.

the sum of two numbers is 42. their product is 185. what are the two numbers?

- math -
**Alexa**, Wednesday, November 14, 2012 at 10:53pm
37 and 5

- math -
**Reiny**, Wednesday, November 14, 2012 at 11:05pm
x+y = 42 ---> y = 42-x

xy = 185

x(42-x) = 185

42x - x^2 - 185 = 0

x^2 - 42x + 185 = 0

x^2 - 42x **+441** = -185**+441**

(x-21)^2 = 256

x-21 = ± √256

x = 21 ±16 = 37 or 5

if one number is 37 , the other is 5

or one is 5 , the other is 37

check:

sum = 37+5 = 42

product = 37x5 = 185

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